e polynomials below. 7p^6 8) v^4-4+7v^8+7v^3+v^2 10) -6n^3-8n^7+2n^2+6n^5-6n^8+10n 12) 3r^4 14) 9k^7 16) -8x^2+6x^3-10x 18) 8v^2+3v+10 20) List all of the characteristics that will not make an expression a polynomial

1. The expression \(7p^{6}\) is a polynomial because it is a single term with a variable raised to a non-negative integer power.<br />2. The number 8 is a polynomial because it can be considered as a polynomial of degree 0.<br />3. The expression \(v^{4}-4+7v^{8}+7v^{3}+v^{2}\) is a polynomial because all terms have variables raised to non-negative integer powers.<br />4. The expression \(-6n^{3}-8n^{7}+2n^{2}+6n^{5}-6n^{8}+10n\) is a polynomial because all terms have variables raised to non-negative integer powers.<br />5. The expression \(3r^{4}\) is a polynomial because it is a single term with a variable raised to a non-negative integer power.<br />6. The expression \(9k^{7}\) is a polynomial because it is a single term with a variable raised to a non-negative integer power.<br />7. The expression \(-8x^{2}+6x^{3}-10x\) is a polynomial because all terms have variables raised to non-negative integer powers.<br />8. The expression \(8v^{2}+3v+10\) is a polynomial because all terms have variables raised to non-negative integer powers.<br />9. The characteristics that will not make an expression a polynomial are:<br /> - Variables raised to negative powers.<br /> - Variables in the denominator.<br /> - Variables under a radical.<br /> - Variables with fractional powers.